Welcome to the nlp-2.1-matrix-decomposition repository! This project provides a collection of algorithms for matrix decomposition, a fundamental concept in linear algebra. Whether you're working on ...

For a square matrix ( A ), an eigenvalue ( \lambda ) and a corresponding eigenvector ( v ) are defined by the equation: [ Av = \lambda v ] The eigenvalue ( \lambda ) is a scalar that scales the ...

Upper and lower bounds for the eigenvalues of three types of matrices M are established. If M is written as the sum of a diagonal matrix D plus a matrix A, the real parts of the eigenvalues of M must ...

Abstract: This paper proposes a time-efficient parallel architecture for computing eigenvalues of asymmetric matrix with real values. The QR algorithm is used to compute the eigenvalues of asymmetric ...

Abstract.In this paper, we propose the inequalities which are satisfied by the determinant of the solutions to the systems of matrix equations { AX B T +B X T A T =C, DX E T +E X T D T =F, (I) { AX B ...